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# In the xy-plane, does the point (4,12) lie on line k? 1. The

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Senior Manager
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In the xy-plane, does the point (4,12) lie on line k? 1. The [#permalink]  21 Jul 2008, 23:53
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In the xy-plane, does the point (4,12) lie on line k?

1. The point (1,7) lies on line k
2. The point (-2,2) lies on line k
Intern
Joined: 15 Jun 2008
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Location: Kiev, Ukraine
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Re: DS: xy-plane [#permalink]  22 Jul 2008, 00:19
[quote][/quote]

First we need to define the equation of a line using two points:
(x-x0)/(x1-x0)=(y-y0)/(y1-y0),
where (x0;y0) and (x1;y1) are coordinates of two points on this line.

Thus, using both info given in the task, we get:
(x-1)/(-2-1)=(y-7)/(2-7)
-3*(y-7)=-5*(x-1)
3y=5x+16.

Now we have to substitute x and y with our coordinates (4;12).
3*12=5*4+16, 36=36, which means that the point (4;12) lies on the line k.
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Re: DS: xy-plane [#permalink]  22 Jul 2008, 01:51
vksunder wrote:
In the xy-plane, does the point (4,12) lie on line k?

1. The point (1,7) lies on line k
2. The point (-2,2) lies on line k

C)

Calculate slope of line using statement 1) and 2)
Re: DS: xy-plane   [#permalink] 22 Jul 2008, 01:51
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